Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have
been described in many publications. In this monograph we try to present the methods in a …

The split feasibility problem (SFP)(Censor and Elfving 1994 Numer. Algorithms 8 221–39) is
to find a point x* with the property that x*∊ C and Ax*∊ Q, where C and Q are the nonempty …

Viscosity approximation methods for nonexpansive map**s are studied. Consider a
nonexpansive self-map** T of a closed convex subset C of a Banach space X. Suppose …

In this paper, we introduce an iterative scheme by the viscosity approximation method for
finding a common element of the set of solutions of an equilibrium problem and the set of …

Let H be a real Hilbert space. Consider on H a nonexpansive map** T with a fixed point, a
contraction f with coefficient 0< α< 1, and a strongly positive linear bounded operator A with …

A variable Krasnosel'skii–Mann algorithm generates a sequence {xn} via the formula x n+
1=(1− α n) x n+ α n T nxn, where {α n} is a sequence in [0, 1] and {T n} is a sequence of …

The zeroing neural network (ZNN) model, a powerful approach for addressing time-varying
problems, has been extensively applied in the calculation and optimization fields. In this …

Assume that F is a nonlinear operator on a real Hilbert space H which is η-strongly
monotone and κ-Lipschitzian on a nonempty closed convex subset C of H. Assume also that …

Convergent sequences of real numbers play a fundamental role in many different problems
in system theory, eg, in Lyapunov stability analysis, as well as in optimization theory and …

The Mann iterations for nonexpansive map**s have only weak convergence even in a
Hilbert space. We propose two modifications of the Mann iterations in a uniformly smooth …